A class of curvature flows expanded by support function and curvature function
In this paper, we consider a class of expanding flows of closed, smooth, uniformly convex hypersurfaces in Euclidean \mathbb{R}^{n+1} with speed u^\alpha f^\beta ( \alpha , \beta \in \mathbb{R}^1), where u is the support function of the hypersurface, f is a smooth, symmetric, homogenous of degree on...
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| Veröffentlicht in: | Proceedings of the American Mathematical Society 2020-12, Vol.148 (12), p.5331-5341 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, we consider a class of expanding flows of closed, smooth, uniformly convex hypersurfaces in Euclidean \mathbb{R}^{n+1} with speed u^\alpha f^\beta ( \alpha , \beta \in \mathbb{R}^1), where u is the support function of the hypersurface, f is a smooth, symmetric, homogenous of degree one, positive function of the principal curvature radii of the hypersurface. If \alpha \leqslant 0 |
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| ISSN: | 0002-9939 1088-6826 |
| DOI: | 10.1090/proc/15189 |